Looks like Singapore is similar to the FAA.
Under the FAA FARs any aircraft OVER 12500 lbs (5700Kg) requires a Type Rating. Subject to that however you are not limited to piston engines - you can fly a turboprop. IN my case I can fly a B200 King Air in FAA land as PIC as I have an FAA ME rating. In the UK I need a TR for the same aeroplane.
All turbojets require a TR, including the new range of VLJs like the D-Jet.